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Finding the Fourth Proportional to 18,689.60, 27,976.80 and 10,875.20

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Solution

The fourth proportional to 18,689.60, 27,976.80 and 10,875.20 is: 16,279.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,689.60 : 27,976.80 = 10,875.20 : x
  2. Step 2: Convert to fraction form
    18,689.60/27,976.80 = 10,875.20/x
  3. Step 3: Cross multiply
    18,689.60x = 27,976.80 × 10,875.20
  4. Step 4: Simplify right side
    18,689.60x = 304,253,295.36
  5. Step 5: Solve for x
    x = 304,253,295.36/18,689.60
  6. Step 6: Final answer
    x = 16,279.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.